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Finding the Fourth Proportional to 6,530.18, 9,792.78 and 2,368.96

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Solution

The fourth proportional to 6,530.18, 9,792.78 and 2,368.96 is: 3,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.18 : 9,792.78 = 2,368.96 : x
  2. Step 2: Convert to fraction form
    6,530.18/9,792.78 = 2,368.96/x
  3. Step 3: Cross multiply
    6,530.18x = 9,792.78 × 2,368.96
  4. Step 4: Simplify right side
    6,530.18x = 23,198,704.11
  5. Step 5: Solve for x
    x = 23,198,704.11/6,530.18
  6. Step 6: Final answer
    x = 3,552.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.